2026/2027

Введение в производную алгебраическую геометрию

Статус: Дисциплина общефакультетского пула

Кто читает: Факультет математики

Где читается: Факультет математики

Когда читается: 3, 4 модуль

Охват аудитории: для своего кампуса

Преподаватели: Павлов Александр Борисович

Язык: английский

Кредиты: 6

Контактные часы: 72

Course Syllabus

Abstract

"Derived algebraic geometry is an extension of algebraic geometry that provide a setting to treat geometrically bad situations (bad intersections, quotients by bad actions etc). It is a natural generalization of the theory of stacks used in algebraic in the context of higher algebra. The course is introductory, but it assumes familiarity with stacks and infinity-categories (quasi-categories). The results from these areas will be reviewed, but many proofs will be sketched or omitted. We will focus on the basic language of derived algebraic geometry: derived stacks and quasi-coherent sheaves on them. If time permits, we will cover the category of ind-coherent sheaves. The category of Ind-coherent sheaves is analogous to the (derived and enhanced) category of quasi-coherent sheaves, but has nicer properties in some respects."